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Finding the Third Proportional to 16,863.19 and 36,701.44

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Solution

The third proportional to 16,863.19 and 36,701.44 is: 79,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863.19 : 36,701.44 = 36,701.44 : x
  2. Step 2: Convert to fraction form
    16,863.19/36,701.44 = 36,701.44/x
  3. Step 3: Cross multiply
    16,863.19x = 36,701.44 × 36,701.44
  4. Step 4: Simplify right side
    16,863.19x = 1,346,995,514.57
  5. Step 5: Solve for x
    x = 1,346,995,514.57/16,863.19
  6. Step 6: Final answer
    x = 79,877.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.